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Finding the Fourth Proportional to 337.78, 466.08 and 233.08

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Solution

The fourth proportional to 337.78, 466.08 and 233.08 is: 321.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.78 : 466.08 = 233.08 : x
  2. Step 2: Convert to fraction form
    337.78/466.08 = 233.08/x
  3. Step 3: Cross multiply
    337.78x = 466.08 × 233.08
  4. Step 4: Simplify right side
    337.78x = 108,633.93
  5. Step 5: Solve for x
    x = 108,633.93/337.78
  6. Step 6: Final answer
    x = 321.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.